I like how cross-x and snfr did their lists!
I'll list 3 per console/Handheld:
SNES:
1. Final Fantasy VI
2. Super Mario World
3. Donkey Kong Country
Gamecube:
1. Super Smash Bros Melee
2. Zelda : Wind Waker
Nothing else good enough
Wii:
1. Super Mario Galaxy
Nothing else good enough
PS1:
1. Tomb Raider
2. Final Fantasy VII
3. Gran Turismo
PS2:
1. Grand Theft Auto : San Andreas
2. Final Fantasy X
3. Metal Gear Solid 2
PS3:
1. Metal Gear Solid 4 : Guns Of The Patriots
2. Final Fantasy XIII
3. Elder Scrolls IV : Oblivion
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GBA:
1. Pokemon Gold
2. Pokemon Trading Card Game
3. Pokemon Crystal
DS:
1. Dragon Quest V Remake
2. The World Ends With You
3. Shin Megami Tensei : Devil Survivor
PSP:
1. Kingdom Hearts : Birth By Sleep
2. Crisis Core : Final Fantasy VII
3. Persona 3 Portable
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PC:
1. Star Wars : Knights Of The Old Republic
2. Dreamfall : Longest Journey
3. Age Of Empire's 2
All hail the KING, Andrespetmonkey